Multiple choice

A certain sum was put on simple interest at 20% per annum for 2 years. The amount received after 2 years put on compound interest 12% per annum for 2 more years. If the amount received at the end of 4 years is Rs.43904, then find the amount invested at starting. एक निश्चित राशि का दो वर्षों के लिए 20% वार्षिक साधारण ब्याज दर पर रखा जाता है । 2 वर्षों के बाद प्राप्त राशि को 12% वार्षिक चक्रवृद्धि ब्याज दर पर 2 और वर्षों के लिए रखा जाता है । यदि 4 वर्ष के अतं में प्राप्त राशि रु.43904 है, तो प्रारम्भ में कितनी राशि निवश की गई थी?

  1. Rs.20000

  2. Rs.25000

  3. Rs.30000

  4. Rs.40000
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B Correct answer
Explanation

Let principal be P. After 2 years at 20% SI: P(1 + 0.20×2) = 1.4P. Next 2 years at 12% CI: 1.4P(1.12)² = 1.4P × 1.2544 = 1.75616P. Given 1.75616P = 43904, so P = 43904/1.75616 ≈ 25000. The calculation uses SI formula A = P(1 + rt) and CI formula A = P(1 + r)ⁿ.

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